9514 1404 393
Answer:
10
Step-by-step explanation:
1 child likes all three
4 like apples and bananas, so 4-1 = 3 like apples and bananas only
3 like apples and peaches, so 3-1 = 2 like apples and peaches only
2 like peaches and bananas, so 2-1 = 1 like peaches and bananas only
7 like apples, but 3+2+1 like one or more other fruits, so 1 likes apples only
6 like bananas, but 3+1+1 like one or more other fruits, so 1 likes bananas only
5 like peaches, but 2+1+1 like one or more other fruits, so 1 likes peaches only
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1 + 1 + 1 = 3 like exactly 1 fruit;
3 + 2 + 1 = 6 like exactly 2 fruits;
1 likes exactly 3 fruits.
The total number of children is 3 + 6 + 1 = 10.
Assuming all the referenced children are in the family, there are 10 children in the family.
